Optimal Stability of Bivariate Tensor Product B-bases

E. Mainar and Juan Manuel Pena
Departamento de Matematica Aplicada, Universidad de Zaragoza, Zaragoza, Spain
Received 15 December, 2009; accepted in revised form 18 October, 2011
Abstract: We analyze some properties of bivariate tensor product bases. In particular, we
obtain conditions so that a general bivariate tensor product basis is optimally stable for
evaluation. Finally, we apply our results to prove the optimal stability of tensor product
normalized B-bases.


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